13138185420800

Names of 13138185420800

• Cardinal: 13138185420800 can be written as Thirteen trillion, one hundred thirty-eight billion, one hundred eighty-five million, four hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.31381854208 × 10¹³

Factors of 13138185420800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 146

Divisors of 13138185420800

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 109 110 121 128 152 160 176 190 200 209 218 220 242 256 275 304 320 352 380 400 418 436 440 475 484 512 545 550 605 608 640 704 760 800 836 872 880 950 968 1024 1045 1090 1100 1199 1210 1216 1280 1408 1520 1600 1672 1744 1760 1900 1936 2048 2071 2090 2180 2200 2299 2398 2420 2432 2560 2725 2816 3025 3040 3200 3344 3488 3520 3800 3872 4096 4142 4180 4360 4400 4598 4796 4840 4864 5120 5225 5450 5632 5995 6050 6080 6400 6688 6976 7040 7600 7744 8192 8284 8360 8720 8800 9196 9592 9680 9728 10240 10355 10450 10900 11264 11495 11990 12100 12160 12800 13189 13376 13952 14080 15200 15488 16384 16568 16720 17440 17600 18392 19184 19360 19456 20480 20710 20900 21800 22528 22781 22990 23980 24200 24320 25600 26378 26752 27904 28160 29975 30400 30976 32768 33136 33440 34880 35200 36784 38368 38720 38912 40960 41420 41800 43600 45056 45562 45980 47960 48400 48640 51200 51775 52756 53504 55808 56320 57475 59950 60800 61952 65536 65945 66272 66880 69760 70400 73568 76736 77440 77824 81920 82840 83600 87200 90112 91124 91960 95920 96800 97280 102400 103550 105512 107008 111616 112640 113905 114950 119900 121600 123904 131072 131890 132544 133760 139520 140800 147136 153472 154880 155648 163840 165680 167200 174400 180224 182248 183920 191840 193600 194560 204800 207100 211024 214016 223232 225280 227810 229900 239800 243200 247808 250591 262144 263780 265088 267520 279040 281600 294272 306944 309760 311296 327680 329725 331360 334400 348800 360448 364496 367840 383680 387200 389120 409600 414200 422048 428032 446464 450560 455620 459800 479600 486400 495616 501182 524288 527560 530176 535040 558080 563200 569525 588544 613888 619520 622592 655360 659450 662720 668800 697600 720896 728992 735680 767360 774400 778240 819200 828400 844096 856064 892928 901120 911240 919600 959200 972800 991232 1002364 1048576 1055120 1060352 1070080 1116160 1126400 1139050 1177088 1227776 1239040 1245184 1252955 1310720 1318900 1325440 1337600 1395200 1441792 1457984 1471360 1534720 1548800 1556480 1638400 1656800 1688192 1712128 1785856 1802240 1822480 1839200 1918400 1945600 1982464 2004728 2097152 2110240 2120704 2140160 2232320 2252800 2278100 2354176 2455552 2478080 2490368 2505910 2621440 2637800 2650880 2675200 2790400 2883584 2915968 2942720 3069440 3097600 3112960 3276800 3313600 3376384 3424256 3571712 3604480 3644960 3678400 3836800 3891200 3964928 4009456 4220480 4241408 4280320 4464640 4505600 4556200 4708352 4911104 4956160 4980736 5011820 5242880 5275600 5301760 5350400 5580800 5767168 5831936 5885440 6138880 6195200 6225920 6264775 6553600 6627200 6752768 6848512 7143424 7208960 7289920 7356800 7673600 7782400 7929856 8018912 8440960 8482816 8560640 8929280 9011200 9112400 9416704 9822208 9912320 9961472 10023640 10485760 10551200 10603520 10700800 11161600 11534336 11663872 11770880 12277760 12390400 12451840 12529550 13107200 13254400 13505536 13697024 14286848 14417920 14579840 14713600 15347200 15564800 15859712 16037824 16881920 16965632 17121280 17858560 18022400 18224800 18833408 19644416 19824640 19922944 20047280 21102400 21207040 21401600 22323200 23068672 23327744 23541760 24555520 24780800 24903680 25059100 26214400 26508800 27011072 27394048 28573696 28835840 29159680 29427200 30694400 31129600 31719424 32075648 33763840 33931264 34242560 35717120 36044800 36449600 37666816 39288832 39649280 39845888 40094560 42204800 42414080 42803200 44646400 46655488 47083520 49111040 49561600 49807360 50118200 52428800 53017600 54022144 54788096 57147392 57671680 58319360 58854400 61388800 62259200 63438848 64151296 67527680 67862528 68485120 71434240 72089600 72899200 75333632 78577664 79298560 80189120 84409600 84828160 85606400 89292800 93310976 94167040 98222080 99123200 99614720 100236400 106035200 108044288 109576192 114294784 115343360 116638720 117708800 122777600 124518400 126877696 128302592 135055360 135725056 136970240 142868480 144179200 145798400 150667264 157155328 158597120 160378240 168819200 169656320 171212800 178585600 186621952 188334080 196444160 198246400 199229440 200472800 212070400 216088576 219152384 228589568 233277440 235417600 245555200 249036800 253755392 256605184 270110720 271450112 273940480 285736960 288358400 291596800 301334528 314310656 317194240 320756480 337638400 339312640 342425600 357171200 373243904 376668160 392888320 396492800 400945600 424140800 432177152 438304768 466554880 470835200 491110400 498073600 513210368 540221440 542900224 547880960 571473920 576716800 583193600 602669056 628621312 634388480 641512960 675276800 678625280 684851200 714342400 746487808 753336320 785776640 792985600 801891200 848281600 864354304 933109760 941670400 982220800 996147200 1026420736 1080442880 1085800448 1095761920 1142947840 1166387200 1205338112 1257242624 1268776960 1283025920 1350553600 1357250560 1369702400 1428684800 1492975616 1506672640 1571553280 1585971200 1603782400 1696563200 1728708608 1866219520 1883340800 1964441600 2052841472 2160885760 2171600896 2191523840 2332774400 2410676224 2514485248 2566051840 2701107200 2714501120 2739404800 2857369600 2985951232 3013345280 3143106560 3171942400 3207564800 3393126400 3457417216 3732439040 3766681600 3928883200 4105682944 4321771520 4343201792 4665548800 4821352448 5132103680 5402214400 5429002240 5478809600 5714739200 5971902464 6026690560 6286213120 6343884800 6415129600 6786252800 6914834432 7464878080 7533363200 7857766400 8211365888 8643543040 9331097600 10264207360 10804428800 10858004480 10957619200 11943804928 12053381120 12572426240 12830259200 13572505600 13829668864 14929756160 15066726400 15715532800 16422731776 17287086080 18662195200 20528414720 21608857600 21716008960 23887609856 24106762240 25660518400 27145011200 27659337728 29859512320 30133452800 31431065600 32845463552 34574172160 37324390400 41056829440 43217715200 47775219712 51321036800 54290022400 59719024640 60266905600 62862131200 65690927104 69148344320 74648780800 82113658880 86435430400 102642073600 108580044800 119438049280 120533811200 131381854208 138296688640 149297561600 164227317760 172870860800 205284147200 238876098560 262763708416 298595123200 328454635520 345741721600 410568294400 525527416832 597190246400 656909271040 691483443200 821136588800 1194380492800 1313818542080 1642273177600 2627637084160 3284546355200 6569092710400 13138185420800
• Sum of all divisors σ(n): 38044844791800
• Sum of proper divisors (its aliquot sum) s(n): 24906659371000
• 13138185420800 is an abundant number, because the sum of its proper divisors (24906659371000) is greater than itself. Its abundance is 11768473950200

Bases of 13138185420800

• Binary: 10111111001011111000111000000000000000000000₂
• Hexadecimal: 0xBF2F8E00000
• Base-36: 4NNLKDQM8

Squares and roots of 13138185420800

• 13138185420800 squared (13138185420800²) is 172611916151321673072640000
• 13138185420800 cubed (13138185420800³) is 2267807360235646451814022787366912000000
• The square root of 13138185420800 is 3624663.4906981367
• The cube root of 13138185420800 is 23596.3662776555

Scales and comparisons

• 13,138,185,420,800 seconds is equal to 417,753 years, 34 weeks, 1 day, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,138,185,420,800 would take you about one million, forty-four thousand, three hundred eighty-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 13138185420800 cubic inches would be around 1966.4 feet tall.

Recreational maths with 13138185420800

• 13138185420800 backwards is 00802458183131
• 13138185420800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13138185420800's digits is 44
• More coming soon!